Irving, sidelined for the first 23 games of the Cavs' season while recovering from surgery in June to repair a fractured left kneecap suffered in Game 1 of the NBA Finals, was cleared for full contact more than a week ago and has been through a handful of practices since without any setbacks.
Irving's final hurdle before the team approves of his intention to play will involve a series of physical tests to measure his body's strength and responsiveness, a team source told ESPN.com on Tuesday.
The tests will be similar to the ones administered on Irving before he was allowed to return for Game 4 of the Eastern Conference finals against Atlanta last spring after sitting out Games 2 and 3 with tendinitis in his left knee.
The Cavaliers continue to be plagued by injuries as guard Iman Shumpert left Cleveland's 89-77 win over the Boston Celtics with 8:35 remaining in the fourth quarter Tuesday and did not return because of a right groin injury.
Shumpert has already been ruled out of the Thunder game, a source told ESPN.com.